document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467494>Question 467494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do inequalities have infinite number of solutions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320772 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lot of them have infinite number of solutions.\r<BR>\n" );
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document.write( "But there are also inequalities where the solution set is finite, or even the empty set!\r<BR>\n" );
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document.write( "For example, the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x+-+6%29+%3C=+0 ALIGN=MIDDLE  ALT=\"abs%282x+-+6%29+%3C=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > has only the set {3} as solution set, while the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+%2B2x%5E2+%2B+3+%3C+0 ALIGN=MIDDLE  ALT=\"x%5E4+%2B2x%5E2+%2B+3+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the empty set as solution set. </SPAN>\n" );
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